Question

Another commercial If Aaron tunes into his favorite radio station at a

randomly selected time, there is a$0.20$ probability that a commercial will be playing.

a. Interpret this probability as a long-run relative frequency.

b. If Aaron tunes into this station at $5$randomly selected times, will there be exactly one

time when a commercial is playing? Explain your answer.

Short answer

a) The relative frequency (which is the number of desired results divided by the number of total outcomes) of event A will be $a/100$

b) the interpretation is that a commercial will be playing roughly $20\%$ of the time he tunes in to his favourite station over a long period of time.

Step-by-step solution

Part (a) Step 1: Given information

We have to interpret this probability as a long-run relative frequency.

Part (a) Step 2: Explanation

The relative frequency (which is the number of desired results divided by the number of total outcomes) of event A will be $a/100$ across a large number of experiments if the probability of outcome A is a percent.

Part (b) Step 1: Given information

We have to tell that will there be exactly one time when a commercial is playing.

Part (b) Step 2: Explanation

When dials in to his preferred station, there is a $0.2$chance that he will hear an advertisement.

As a result, the interpretation is that a commercial will be playing roughly $20\%$of the time he tunes in to his favourite station over a long period of time.